Abstract
We present the first complete two loop calculation of the electron EDM in the complex two-Higgs doublet model. We confirm gauge-independence by demonstrating analytic cancellation of the gauge parameter $\xi$ in the background field gauge and the 't Hooft $R_\xi$ gauge. We also investigate the behavior of the electron EDM near the decoupling limit, and determine the short- and long-distance contributions by matching onto an effective field theory. Compared with earlier studies of the electron EDM in the complex two-Higgs doublet model, we note disagreements in several places and provide diagnoses where possible. We also provide expressions for EDMs of light quarks.
Highlights
The discovery of a nonvanishing electric dipole moment (EDM) of any fundamental particle in generation experiments would unambiguously signal the existence of new sources of CP violation beyond the Standard Model (SM) of particle physics
The most stringent limit on the electron EDM is provided by the ACME Collaboration [6] and reads de < 1.1 × 10−29 e cm at a 90% confidence level
We present for the first time the complete calculation of the electron EDM by systematically accounting for all Feynman diagrams that contribute at a two loop order
Summary
The discovery of a nonvanishing electric dipole moment (EDM) of any fundamental particle in generation experiments would unambiguously signal the existence of new sources of CP violation beyond the Standard Model (SM) of particle physics. Many such models predict EDMs of elementary particles that are within reach of current experiments, with the SM contribution estimated to lie several orders of magnitude lower [1,2,3]. In the Appendix, we collect useful equations on the 2HDM scalar potential
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